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Finding the Fourth Proportional to 800.23, 1,199.93 and 306.49

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Solution

The fourth proportional to 800.23, 1,199.93 and 306.49 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.23 : 1,199.93 = 306.49 : x
  2. Step 2: Convert to fraction form
    800.23/1,199.93 = 306.49/x
  3. Step 3: Cross multiply
    800.23x = 1,199.93 × 306.49
  4. Step 4: Simplify right side
    800.23x = 367,771.88
  5. Step 5: Solve for x
    x = 367,771.88/800.23
  6. Step 6: Final answer
    x = 459.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.